CMSA Quantum Matter in Mathematics and Physics: Chern-Simons-like theories for fracton phases
Weslei Bernardino Fontana - Boston University & Estadual
In this talk, I will discuss how to obtain field theories for fracton lattice models. This is done by representing the lattice degrees of freedom with Dirac matrices, which are then related to continuum fields by means of a "bosonization" map. This procedure allows us to obtain effective theories which are of a Chern-Simons-like form. I will show that these Chern-Simons-like theories naturally encode the fractonic behavior of the excitations and that these theories can describe even type-II fracton phases.